Finding the Third Proportional to 19,506 and 41,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,506 : 41,972.50 = 41,972.50 : x
2. Step 2: Convert to fraction form
   19,506/41,972.50 = 41,972.50/x
3. Step 3: Cross multiply
   19,506x = 41,972.50 × 41,972.50
4. Step 4: Simplify right side
   19,506x = 1,761,690,756.25
5. Step 5: Solve for x
   x = 1,761,690,756.25/19,506
6. Step 6: Final answer
   x = 90,315.33